Interaction Between Gravity and Gyroscopic Forces: Transient Control of Gyropendulums and Inverted Gyropendulums

In this paper we introduce a mathematical model designed to analyse the interaction between gyroscopic forces and the gravitational field and which has been essential in studying the dynamic response of several classes of chiral metamaterials. For an elementary cell, which includes either a normal or inverted gyroscopic pendulum, we provide the full classification of its transient oscillations linked to the sufficiently high rate of spin. The characteristics of physical chirality in the presence of gravity cover a range of physical phenomena at different scales. The theoretical work is accompanied by the illustrative examples.